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Unmarriedness and maleness are each individually necessary conditions for bachelorhood; together, these criteria represent a sufficient condition for bachelorhood.

未婚状态和男人身份，各自是单身汉身份的必要条件；放在一起，这两个条件就是单身汉身份的充分条件。

Although we do not have very dark job background, but record of formal schooling still can be a few 211 come out, enthusiasm is sufficient, have intense emotion very much.

我们虽然没有很深的工作背景，但学历都还可以几个是211出来的，干劲足，非常有激情。

The seatback should provide sufficient lumbar support, and your lower back should lean against the backrest.

椅背应该提供足够多的腰部支持，而且你的背部也应该贴靠在椅背上

Bahr had sufficient confidence in his dexterity .

巴尔对他的聪明才智充满信心。

In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里，我们地德摩根代数中引进了伪度量，探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理，得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理，最后给出一个德摩根拓扑代数可度量化的充分条件。

To provide sufficient power for ballroom events.

为宴会厅提供足够的电源。

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

For a given strictly proper rational function matrix over a commutative Banach algebra, the controllable, observable realizations have been constructed, the uniqueness of minimal realizations under the system equivalence has been proved, also, the necessary and sufficient conditions for decoupling have been given.

对给定的定义在交换Banach代数上的严格真有理函数矩阵，构造了可控型、可观型的实现，证明了其极小实现在系统等价意义下的唯一性；给出了交换B.fi。

The necessary and sufficient condition which fundamental and total biorthogonal system in Banach space Schauder basis are provided.

本文利用BK空间的理论讨论了乘子空间M的性质，给出了Banach空间X上基本完全的双正交系成为Schauder基的充要条件。

There is no such thing as 'sufficient bandwidth'.

"足够的带宽"是不存在的。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。